Thank you, Seth. I was going to say something similar. I don't even like to click on wikipedia, there are so many errors there. The OP's summary of what's on that page, presuming it's accurate, certainly suggests that the lists on the page are far from complete.
I'll add that it's quite possible that some earlier shows closed in previews. The history of previews in New York is very shadowy as it was uncommon to advertise them before around 1960.